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Finding the Third Proportional to 463,830 and 997,779

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Solution

The third proportional to 463,830 and 997,779 is: 2,146,396.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,830 : 997,779 = 997,779 : x
  2. Step 2: Convert to fraction form
    463,830/997,779 = 997,779/x
  3. Step 3: Cross multiply
    463,830x = 997,779 × 997,779
  4. Step 4: Simplify right side
    463,830x = 995,562,932,841
  5. Step 5: Solve for x
    x = 995,562,932,841/463,830
  6. Step 6: Final answer
    x = 2,146,396.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.